How to Convert 1.5 6 to a Fraction

When you encounter a decimal number, it can be useful to convert it to a fraction, especially when dealing with mathematical operations involving fractions. Converting a decimal to a fraction is not difficult, and with a little bit of practice, you can master it in no time. Here's how to convert 1.5 6 to a fraction:

Step 1: Write the Decimal as a Sum of Fractions

To convert a decimal to a fraction, you first need to write the decimal as a sum of fractions. For example, the decimal 1.56 can be written as:

1 + 0.5 + 0.06

The whole number part of the decimal is 1, and the fractional part is 0.5 + 0.06.

Step 2: Convert the Fractional Part to a Fraction

Next, convert the fractional part of the decimal to a fraction. In this case, we have:

0.5 + 0.06

To convert 0.5 to a fraction, note that it is equal to 5/10. Since 5 and 10 share a factor of 5, we can simplify the fraction to 1/2. Therefore, 0.5 is equal to 1/2.

To convert 0.06 to a fraction, note that it is equal to 6/100. Again, we can simplify the fraction by dividing both the numerator and denominator by 2, giving us 3/50. Therefore, 0.06 is equal to 3/50.

Step 3: Add the Whole Number and Fraction

Now that we have converted the fractional part of the decimal to a fraction, we can add the whole number and fraction together. In this case, we have:

1 + 1/2 + 3/50

To add these fractions, we need to find a common denominator. The least common multiple of 2 and 50 is 100, so we can convert 1/2 to 50/100 and 3/50 to 3/100. Then, we can add the fractions together, giving us:

1 + 50/100 + 3/100 = 1 + 53/100

Step 4: Simplify the Fraction

Finally, we can simplify the fraction by reducing it to its lowest terms. To do this, we can divide both the numerator and denominator by their greatest common factor, which is 1 in this case. Therefore, the fraction 53/100 is already in its simplest form, and our final answer is:

1.5 6 = 1 + 53/100

As a fraction, 1.5 6 is equal to 1 53/100.

In Conclusion,

Converting a decimal to a fraction is a simple process that involves breaking the decimal down into a whole number and fractional part, converting the fractional part to a fraction, adding the whole number and fraction together, and simplifying the resulting fraction. With practice, you can quickly and easily convert any decimal to a fraction.